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Finding the Fourth Proportional to 860.77, 1,284.26 and 768.43

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Solution

The fourth proportional to 860.77, 1,284.26 and 768.43 is: 1,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.77 : 1,284.26 = 768.43 : x
  2. Step 2: Convert to fraction form
    860.77/1,284.26 = 768.43/x
  3. Step 3: Cross multiply
    860.77x = 1,284.26 × 768.43
  4. Step 4: Simplify right side
    860.77x = 986,863.91
  5. Step 5: Solve for x
    x = 986,863.91/860.77
  6. Step 6: Final answer
    x = 1,146.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.